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Idempotent rank in the endomorphism monoid of a non-uniform partition

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dc.contributor.authorDolinka, Igor
dc.contributor.authorEast, James
dc.contributor.authorMitchell, James D.
dc.date.accessioned2016-08-09T09:30:14Z
dc.date.available2016-08-09T09:30:14Z
dc.date.issued2016-02
dc.identifier212674032
dc.identifierbf8929c0-c2f4-4fe7-8415-287da4064d2b
dc.identifier84938828148
dc.identifier000367384000009
dc.identifier.citationDolinka , I , East , J & Mitchell , J D 2016 , ' Idempotent rank in the endomorphism monoid of a non-uniform partition ' , Bulletin of the Australian Mathematical Society , vol. 93 , no. 1 , pp. 73-91 . https://doi.org/10.1017/S0004972715000751en
dc.identifier.issn0004-9727
dc.identifier.otherArXiv: http://arxiv.org/abs/1504.02520v1
dc.identifier.otherORCID: /0000-0002-5489-1617/work/73700788
dc.identifier.urihttps://hdl.handle.net/10023/9275
dc.description.abstractWe calculate the rank and idempotent rank of the semigroup E(X,P) generated by the idempotents of the semigroup T(X,P), which consists of all transformations of the finite set X preserving a non-uniform partition P. We also classify and enumerate the idempotent generating sets of this minimal possible size. This extends results of the first two authors in the uniform case.
dc.format.extent396505
dc.language.isoeng
dc.relation.ispartofBulletin of the Australian Mathematical Societyen
dc.subjectTransformation semigroupsen
dc.subjectIdempotentsen
dc.subjectGeneratorsen
dc.subjectRanken
dc.subjectIdempotent ranken
dc.subjectQA Mathematicsen
dc.subjectT-NDASen
dc.subject.lccQAen
dc.titleIdempotent rank in the endomorphism monoid of a non-uniform partitionen
dc.typeJournal articleen
dc.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.contributor.institutionUniversity of St Andrews. Centre for Interdisciplinary Research in Computational Algebraen
dc.identifier.doihttps://doi.org/10.1017/S0004972715000751
dc.description.statusPeer revieweden


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